%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU523_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:39:15 AM UTC 2026
% Result : Theorem 3.26s 2.28s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 2 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 66 ( 2 ~; 0 |; 4 &; 42 @)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 16 !; 3 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_decl,type,
in: $i > $i > $o ).
thf(setunion_decl,type,
setunion: $i > $i ).
thf(setunionAx_decl,type,
setunionAx: $o ).
thf(1,conjecture,
( setunionAx
=> ! [A: $i,B: $i] :
( ( A @ setunion @ ( B @ in ) )
=> ! [C: $o] :
( ! [D: $i] :
( ( D @ ( B @ in ) )
=> ( ( A @ ( D @ in ) )
=> C ) )
=> C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE) ).
thf(2,negated_conjecture,
~ ( setunionAx
=> ! [A: $i,B: $i] :
( ( A @ setunion @ ( B @ in ) )
=> ! [C: $o] :
( ! [D: $i] :
( ( D @ ( B @ in ) )
=> ( ( A @ ( D @ in ) )
=> C ) )
=> C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( setunionAx
=> ! [A: $i,B: $i] :
( ( A @ setunion @ ( B @ in ) )
=> ! [C: $o] :
( ! [D: $i] :
( ( D @ ( B @ in ) )
=> ( ( A @ ( D @ in ) )
=> C ) )
=> C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
( setunionAx
= ( ! [A: $i,B: $i] :
( ( A @ setunion @ ( B @ in ) )
<=> ? [C: $i] :
( ( A @ ( C @ in ) )
& ( C @ ( B @ in ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionAx) ).
thf(10,plain,
( setunionAx
= ( ! [A: $i,B: $i] :
( ( ? [C: $i] :
( ( A @ ( C @ in ) )
& ( C @ ( B @ in ) ) )
=> ( A @ setunion @ ( B @ in ) ) )
& ( ( A @ setunion @ ( B @ in ) )
=> ? [C: $i] :
( ( A @ ( C @ in ) )
& ( C @ ( B @ in ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,plain,
$false,
inference(e,[status(thm)],[4,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU523_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 10:11:45 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.17 % [INFO] Parsing done (176ms).
% 1.28/1.18 % [INFO] Running in sequential loop mode.
% 1.84/1.59 % [INFO] eprover registered as external prover.
% 2.04/1.60 % [INFO] Scanning for conjecture ...
% 2.04/1.68 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.22/1.71 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.22/1.75 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.22/1.75 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.22/1.75 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.22/1.76 % [INFO] Type checking passed.
% 2.22/1.76 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.26/2.27 % External prover 'e' found a proof!
% 3.26/2.27 % [INFO] Killing All external provers ...
% 3.26/2.27 % Time passed: 1730ms (effective reasoning time: 1085ms)
% 3.26/2.27 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.26/2.27 % Axioms used in derivation (1): setunionAx
% 3.26/2.27 % No. of inferences in proof: 6
% 3.26/2.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1730 ms resp. 1085 ms w/o parsing
% 3.53/2.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.53/2.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------